The captain of a cricket team of 11 members is 26 years old, and the wicket-keeper is three years older than the captain. If the ages of captain and wicketkeeper are excluded, the average age of the remaining players of the team is one year less than the average age of the whole team. What is the average age of the team?
| Question | The captain of a cricket team of 11 members is 26 years old, and the wicket-keeper is three years older than the captain. If the ages of captain and wicketkeeper are excluded, the average age of the remaining players of the team is one year less than the average age of the whole team. What is the average age of the team? | |
| Type | multiple_choice | |
| Option | 19 | incorrect |
| Option | 49 | incorrect |
| Option | 17 | incorrect |
| Option | 23 | correct |
| Solution | Let the average age of the whole team by x years. 11x – (26 + 29) = 9(x -1) 11x – 55 = 9x -9 11x – 9x = – 9 + 55 2x = 46 x = 23 Years. | |